What is the Greatest Common Factor of 90684 and 90699?

Greatest common factor (GCF) of 90684 and 90699 is 3.

GCF(90684,90699) = 3

We will now calculate the prime factors of 90684 and 90699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90684 and 90699.

How to find the GCF of 90684 and 90699?

We will first find the prime factorization of 90684 and 90699. After we will calculate the factors of 90684 and 90699 and find the biggest common factor number .

Step-1: Prime Factorization of 90684

Prime factors of 90684 are 2, 3, 11, 229. Prime factorization of 90684 in exponential form is:

90684 = 2² × 3² × 11¹ × 229¹

Step-2: Prime Factorization of 90699

Prime factors of 90699 are 3, 7, 617. Prime factorization of 90699 in exponential form is:

90699 = 3¹ × 7² × 617¹

Step-3: Factors of 90684

List of positive integer factors of 90684 that divides 90684 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 229, 396, 458, 687, 916, 1374, 2061, 2519, 2748, 4122, 5038, 7557, 8244, 10076, 15114, 22671, 30228, 45342

Step-4: Factors of 90699

List of positive integer factors of 90699 that divides 90684 without a remainder.

1, 3, 7, 21, 49, 147, 617, 1851, 4319, 12957, 30233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90684 and 90699. The biggest common factor number is the GCF number.
So the greatest common factor 90684 and 90699 is 3.

Also check out the Least Common Multiple of 90684 and 90699